Evolution in the Weak-Mutation Limit: Stasis Periods Punctuated by Fast Transitions Between Saddle Points on the Fitness Landscape
Evolution in the weak-mutation limit: Stasis periods punctuated by fast transitions between saddle points on the fitness landscape Yuri Bakhtina, Mikhail I. Katsnelsonb, Yuri I. Wolfc, and Eugene V. Kooninc,1 aCourant Institute of Mathematical Sciences, New York University, New York, NY 10012; bInstitute for Molecules and Materials, Radboud University, NL-6525 AJ Nijmegen, The Netherlands; and cNational Center for Biotechnology Information, National Library of Medicine, NIH, Bethesda, MD 20894 Contributed by Eugene V. Koonin, December 16, 2020 (sent for review July 24, 2020; reviewed by Sergey Gavrilets and Alexey S. Kondrashov) A mathematical analysis of the evolution of a large population occur (9, 10). The long intervals of stasis are punctuated by short under the weak-mutation limit shows that such a population periods of rapid evolution during which speciation occurs, and the would spend most of the time in stasis in the vicinity of saddle previous dominant species is replaced by a new one. Gould and points on the fitness landscape. The periods of stasis are punctu- Eldredge emphasized that PE was not equivalent to the “hopeful ated by fast transitions, in lnNe/s time (Ne, effective population monsters” idea, in that no macromutation or saltation was proposed size; s, selection coefficient of a mutation), when a new beneficial to occur, but rather a major acceleration of evolution via rapid mutation is fixed in the evolving population, which accordingly succession of “regular” mutations that resulted in the appearance of moves to a different saddle, or on much rarer occasions from a instantaneous speciation, on a geological scale.
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